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Finding the Fourth Proportional to 160,074, 220,902.12 and 89,418

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Solution

The fourth proportional to 160,074, 220,902.12 and 89,418 is: 123,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,074 : 220,902.12 = 89,418 : x
  2. Step 2: Convert to fraction form
    160,074/220,902.12 = 89,418/x
  3. Step 3: Cross multiply
    160,074x = 220,902.12 × 89,418
  4. Step 4: Simplify right side
    160,074x = 19,752,625,766.16
  5. Step 5: Solve for x
    x = 19,752,625,766.16/160,074
  6. Step 6: Final answer
    x = 123,396.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.